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Finding the Fourth Proportional to 9,393.52, 12,973.68 and 6,404.20

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Solution

The fourth proportional to 9,393.52, 12,973.68 and 6,404.20 is: 8,845.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.52 : 12,973.68 = 6,404.20 : x
  2. Step 2: Convert to fraction form
    9,393.52/12,973.68 = 6,404.20/x
  3. Step 3: Cross multiply
    9,393.52x = 12,973.68 × 6,404.20
  4. Step 4: Simplify right side
    9,393.52x = 83,086,041.46
  5. Step 5: Solve for x
    x = 83,086,041.46/9,393.52
  6. Step 6: Final answer
    x = 8,845.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.